Question

(15 1/3-8 5/18)×2 4/7÷6 1/11-2 5/8​

Answer 1

Ответ:

15 1/ 3 - 8 5/ 18 = 1 + 15·3/ 3 - 5 + 8·18/ 18 = 4 6/ 3 - 149 18 = 46·6 3·6 - 149·1 18·1 = 276 18 - 149 18 = 276 - 149 18 = 127 18 = 7·18 + 1 18 = 7 1 18

2 4 7 ÷6 1 11 = 4 + 2·7 7 ÷ 1 + 6·11 11 = 18 7 ÷ 67 11 = 18 7 × 11 67 = 18·11 7·67 = 198 469

7 1 18 × 198 469 = 1 + 7·18 18 × 198 469 = 127 18 × 198 469 = 127·198 18·469 = 25146 8442 = 1397 · 18 469 · 18 = 1397 469 = 2·469 + 459 469 = 2 459 469

2 459 469 - 2 5 8 = 459 + 2·469 469 - 5 + 2·8 8 = 1397 469 - 21 8 = 1397·8 469·8 - 21·469 8·469 = 11176 3752 - 9849 3752 = 11176 - 9849 3752 = 1327 3752

Объяснение:

Ответ: 1327/3752

Answer 2

To solve this expression, we'll break it down step by step, following the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction).

Let's start with each operation separately:

1. Subtract the mixed numbers: (15 1/3 - 8 5/18) = (15 - 8) + (1/3 - 5/18) = 7 + (6/18 - 5/18) = 7 + (1/18)

2. Multiply the result from step 1 by 2 4/7: (7 + 1/18) * 2 4/7 = (7 + 1/18) * (18/7) / 7 = (7 + 1/18) * (18/7) / 7 = (126/18 + 1/18) * (18/7) / 7 = (127/18) * (18/7) / 7 = (127/7) / 7

3. Divide the result from step 2 by 6 1/11: (127/7) / (6 1/11) = (127/7) / (67/11)

To divide fractions, you can multiply by the reciprocal: (127/7) / (67/11) = (127/7) * (11/67)

4. Finally, subtract 2 5/8 from the result: (127/7) * (11/67) - 2 5/8

Now, you can calculate this expression. It might be helpful to convert the mixed number 2 5/8 to an improper fraction before subtracting:

2 5/8 = (2 * 8 + 5) / 8 = 21/8

So, the expression becomes:

(127/7) * (11/67) - 21/8

To calculate this, you can follow these steps:

• Multiply the numerators together: 127 * 11 = 1397
• Multiply the denominators together: 7 * 67 = 469
• Subtract 21/8 from the result:

(1397/469) - (21/8)

To subtract fractions, you need a common denominator. In this case, the common denominator is 469 * 8 = 3752:

(1397/469) * (8/8) - (21/8) * (469/469)

Now, you can subtract:

(11176/3752) - (19749/3752)

Now, subtract the fractions:

(11176 - 19749) / 3752 = (-8573/3752)

So, the final result of the expression is:

-8573/3752